Characteristic ratio assignment in fractional order systems

ISA Transactions

Volumn 49, Issue 4, 2010, Pages 470-478

  Tabatabaei, Mohammad ^a   Haeri, Mohammad ^b  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Characteristic ratio assignment; Fractional order controllers; Fractional order systems

Indexed keywords

CONTROLLERS;

ANALYTICAL APPROACH; CHARACTERISTIC RATIO; CHARACTERISTIC RATIO ASSIGNMENTS; CLOSED LOOPS; FRACTIONAL-ORDER CONTROLLERS; FRACTIONAL-ORDER SYSTEMS; NON-OVERSHOOTING; TIME CONSTANTS;

ALGEBRA;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; ELECTRIC POWER PLANT; ELECTRONICS; EQUIPMENT DESIGN; INDUSTRY; MATHEMATICS; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; COMPUTER SIMULATION; ELECTRONICS; EQUIPMENT DESIGN; INDUSTRY; MATHEMATICS; MODELS, STATISTICAL; POWER PLANTS;

EID: 77957897283     PISSN: 00190578     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.isatra.2010.06.001     Document Type: Article

References (30)

1. D. Cafagna Past and present-fractional calculus: a mathematical tool from the past for present engineers IEEE Industrial Electronics Magazine 1 2 2007 35 40
2. I. Podlubny Fractional differential equations 1999 Academic Press San Diego
3. P.J. Torvik, and R.L. Bagley On the appearance of the fractional derivative in the behavior of real materials Transactions of the ASME 51 1984 294 298
4. I Podlubny Applications of fractional-order derivatives to calculation of heat load intensity change in blast furnace walls Transactions of Tech. Univ. of Kosice 5 1995 137 144
5. J.L. Battaglia, O.P. Cois, and L. Oustaloup Solving an inverse heat conduction problem using a non-integer identified model International Journal of Heat and Mass Transfer 44 2001 2671 2680
6. KB Oldham, and J Spanier The fractional calculus: theory and application of differentiation and integration to arbitrary order 1974 Academic Press New York
7. S.J. Isabel, and J.A.T. Machado Fractional control of heat diffusion systems Nonlinear Dynamics 54 2008 263 282
8. D. Valerio, and J. Costa Tuning of fractional PID controllers with ZieglerNichols-type rules Signal Processing 86 2006 2771 2784
9. Zhao C, Xue D, Chen Y. A fractional PID tuning algorithm for a class of fractional order plants. In: Proceedings of IEEE international conference on mechatronics and automation. vol. 1. 2005. p. 21621.
10. C. Monje, B.M. Vinagre, V. Feliu, and Y.Q. Chen Tuning and auto tuning of fractional order controllers for industry applications Control Engineering Practice 16 2008 798 812
11. S. Ladaci, and A. Charef On fractional adaptive control Nonlinear Dynamics 43 2006 365 378
12. A. Ammour, S. Djennoune, and M. Bettayeb A sliding mode control for linear fractional systems with input and state delays Nonlinear Science and Numerical Simulation 14 2009 2310 2318
13. O.P. Agrawal A general formulation and solution scheme for fractional optimal control problems Nonlinear Dynamics 38 2004 323 337
14. V. Kucera Exact model matching, polynomial equation approach International Journal of Systems Science 12 1981 1477 1484 (Pubitemid 12535413)
15. P.N. Paraskevopoulos Exact transfer function design using output feedback Proceedings of the IEEE 8 1976 831 834
16. B.C. Moore, and L.M. Silverman Model-matching by state feedback and dynamic compensation IEEE Transactions on Automatic Control 17 1972 491 497
17. Q.G. Wang, Z. Zhang, K.J. Astrom, and L.S. Chek Guaranteed dominant pole placement with PID controllers Journal of Process Control 19 2009 349 352
18. K.J. Astrom, and T. Hagglund PID controllers, theory, design, and tuning 1995 Instrument society of America Research Triangle Park (North Carolina)
19. P. Naslin Essentials of optimal control 1969 Boston Technical Publishers Inc. Cambridge
20. Manabe S. Coefficient diagram method. In: Proceedings of the 14th IFAC symposium on automatic control in aerospace. 1998. p. 199210.
21. A.V. Lipatov, and N.I. Sokolov Some sufficient conditions for stability and instability of continuous linear stationary systems Automation and Remote Control 39 1979 1285 1291
22. Y.C. Kim, L.H. Keel, and S.P. Bhattacharyya Transient response control via characteristic ratio assignment IEEE Transactions on Automatic Control 48 2003 2238 2244
23. Numsomran A, Wongkhum T, Suksri T, Nilas P, Chaoraingern J. Design of decoupled controller for TITO system using characteristic ratio assignment. In: International conference on control, automation and systems. 2007. p. 95762.
24. J. Chaoraingern, A. Numsomran, T. Suesut, T. Trisuwannawat, and V. Tipsuwanporn PID controller design using characteristic ratio assignment method for coupled-tank process Proceedings of IEEE conference on computational intelligence for modeling, control and automation 2005 IEEE Computer Society Washington (DC, USA)
25. Matignon D. Stability properties for generalized fractional differential systems. In: Proceedings of the colloquium FDS'98: fractional differential systems: model, methods and applications, vol. 5. 1998. p. 14558.
26. H. Chestnut, and R.W. Mayer Servomechanisms and regulating system design. vol. I 1959 Wiley New York
27. Petras I, Dorcak L, Kostial I. A comparison of the integer and the fractional order controllers on the laboratory object. In: Proceedings of the ICAMC98/ASRTP'98. 1998. p. 4514.
28. K.J. Astrom, and B. Wittenmark Adaptive control 1995 Addison-Wesley Reading (MA)
29. Cois O, Oustaloup A, Battaglia E, Battaglia JL. Non-integer model from modal decomposition for time domain system identification. In: Proceedings of symposium identification. vol. 3. 2000. p. 98994.
30. Chen YQ, Petras I, Xue D. Fractional order controla tutorial. In: Proceedings of the American control conference. 2009. p. 1397411.